Question

find the volume of the cylinder in terms of π. r = 15 ft h = 9 ft v = □π ft³

Explanation:

Step1: Recall the formula for the volume of a cylinder

The formula for the volume \( V \) of a cylinder is \( V=\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute the given values of \( r \) and \( h \)

We are given that \( r = 15\) ft and \( h=9\) ft. Substitute these values into the formula:
\( V=\pi\times(15)^{2}\times9 \)

Step3: Calculate \( (15)^{2}\times9 \)

First, calculate \( 15^{2}=225 \). Then, multiply by 9: \( 225\times9 = 2025 \). So, \( V = 2025\pi \) cubic feet.

Answer:

\( 2025 \)